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Finding the Fourth Proportional to 242,601.60, 363,902.40 and 186,549.60

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Solution

The fourth proportional to 242,601.60, 363,902.40 and 186,549.60 is: 279,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,601.60 : 363,902.40 = 186,549.60 : x
  2. Step 2: Convert to fraction form
    242,601.60/363,902.40 = 186,549.60/x
  3. Step 3: Cross multiply
    242,601.60x = 363,902.40 × 186,549.60
  4. Step 4: Simplify right side
    242,601.60x = 67,885,847,159.04
  5. Step 5: Solve for x
    x = 67,885,847,159.04/242,601.60
  6. Step 6: Final answer
    x = 279,824.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.